Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , : , :
1	reference	18	⊢
2	instantiation	25, 4	⊢
	: , : , :
3	instantiation	5, 6, 7, 37, 8, 9, 14, 10, 11, 12^*	⊢
	: , : , : , : , : , :
4	instantiation	13, 14	⊢
	:
5	theorem		⊢
	proveit.numbers.addition.association
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	15	⊢
	: , :
10	instantiation	35, 21, 16	⊢
	: , : , :
11	instantiation	35, 21, 17	⊢
	: , : , :
12	instantiation	18, 19, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.elim_zero_right
14	instantiation	35, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	35, 27, 23	⊢
	: , : , :
17	instantiation	35, 27, 24	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_3
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	35, 27, 28	⊢
	: , : , :
23	instantiation	35, 31, 29	⊢
	: , : , :
24	instantiation	35, 31, 30	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.substitution
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_4
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	35, 31, 32	⊢
	: , : , :
29	instantiation	35, 36, 33	⊢
	: , : , :
30	instantiation	35, 36, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements